# Find the degree and radian measure of exterior and interior angle of a regular hexagon - Mathematics and Statistics

Sum

Find the degree and radian measure of exterior and interior angle of a regular hexagon

#### Solution

Hexagon:
Number of sides = 6
Number of exterior angles = 6
Sum of exterior angles = 360°

∴ Each exterior angle = (360°)/"no. of sides"

= (360°)/6

= 60°

= (60 xx pi/180)^"c"

= (pi/3)^"c"

Interior angle + Exterior angle = 180°

∴ Each interior angle = 180° – 60° = 120°

= (120 xx pi/180)^"c"

= ((2pi)/3)^c"

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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 1 Angle and its Measurement
Exercise 1.1 | Q 13. (ii) | Page 9